{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Numpy数组创建: 1. 按要求补全代码，创建一个全0一个全1的数组\n",
    "\n",
    "---\n",
    "个人信息:  \n",
    "- 姓名: 石庆波\n",
    "- 年级: 2020\n",
    "- 专业: 智能科学与技术\n",
    "- 班级: 一班\n",
    "---\n",
    "\n",
    "- 诚信守则:  \n",
    "    - 我承诺该报告内容**为我个人书写非直接抄袭所得。**\n",
    "    - 我**可以解释答题思路并复现我的答案。**\n",
    "    - 如无法实现以上要求，**我愿意承担由此带来的后果。**\n",
    "---"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "x0 shape: (2, 5)\n",
      "x0 content: [[0 0 0 0 0]\n",
      " [0 0 0 0 0]]\n",
      "x1 shape: (5, 2)\n",
      "x1 content: [[1 1]\n",
      " [1 1]\n",
      " [1 1]\n",
      " [1 1]\n",
      " [1 1]]\n",
      "\n"
     ]
    }
   ],
   "source": [
    "import numpy as np\n",
    "x0=np.zeros((2,5),dtype=int)\n",
    "x1=np.ones((5,2),dtype=int)\n",
    "info = f'''\n",
    "x0 shape: {x0.shape}\n",
    "x0 content: {x0}\n",
    "x1 shape: {x1.shape}\n",
    "x1 content: {x1}\n",
    "'''\n",
    "print(info)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Numpy数组创建: 2. 构建对角线矩阵并绘制出其对应的图像\n",
    "\n",
    "---\n",
    "个人信息:  \n",
    "- 姓名: 石庆波\n",
    "- 年级: 2020\n",
    "- 专业: 智能科学与技术\n",
    "- 班级: 一班\n",
    "---\n",
    "\n",
    "- 诚信守则:  \n",
    "    - 我承诺该报告内容**为我个人书写非直接抄袭所得。**\n",
    "    - 我**可以解释答题思路并复现我的答案。**\n",
    "    - 如无法实现以上要求，**我愿意承担由此带来的后果。**\n",
    "---"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAP4AAAD8CAYAAABXXhlaAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi4zLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvIxREBQAADSBJREFUeJzt3V+sZWV5x/HvrzOOlLFkZiSacQY7kEywhkSRSQPqBQFNlRrhAlOMTaYNzdy0EW0ThfbKu5IYwYvGZAI1pGkEO5JC5kJCEGOvppyR/gGGcag0w8goNIA2XjSd8PRir23PjIfZe87+t/Z5v59kZ5+1zj5nPazZz/69a613HVJVSGrLbyy6AEnzZ+NLDbLxpQbZ+FKDbHypQTa+1CAbX2rQRI2f5BNJjid5Icmd0ypK0mxlvRN4kmwCfgR8HDgFPAV8tqqem155kmZh8wQ/+7vAC1X1Y4AkDwI3A2/Z+Jdeemnt2bOHo0ePTrBZSedTVRn1mkmG+ruAl1Ytn+rWnSXJgSQrSVa2bt3KysrKBJuUNA2TJP5anyq/dtxQVQeBgwBJKgnDw4tk5AeTpBmYJPFPAZetWt4NvDxZOZLmYZLGfwrYm+TyJFuA24BHx/nBJAyTf/iQND/rHupX1ZkkfwY8BmwC/raqnp1aZZJmZt2X89a1seSsja3etsf70nSMc1Z/kpN7E1vd7J7wk+bHKbtSgxaa+KsNk97kl2bPxJca1JvEHzL5pdkz8aUG9S7xh0x+aXZMfKlBvU38IZNfmj4TX2pQ7xN/6NzkX71O0oUx8aUG2fhSg5ZmqD/kjT3S5Ex8qUFLl/irealPWh8TX2rQUif+kMkvXRgTX2rQhkj8IZNfGo+JLzVoQyX+kNN7pfMz8aUG2fhSgzbkUH/I6b3S2kx8qUEbOvFX81Kf9P9MfKlBzST+kMkvmfhSk5pL/CGTXy0z8aUGNZv4Qya/WmTiSw0a2fhJLkvyZJJjSZ5Ncke3fkeSx5Oc6J63z77c2UlCEqrqVw9po8qoN3iSncDOqvphkt8CjgK3AH8EvFZVf53kTmB7VX15xO/qfTd5R5+WXVWNfOOOTPyqOl1VP+y+/m/gGLALuBl4oHvZAww+DCQtgZGJf9aLkz3AD4CrgJNVtW3V916vqvMO95ch8VfzhJ+W0TiJP/ZZ/STvAL4DfKGqfjFuMyQ5ABwYdzuSZm+sxE/yNuAw8FhVfa1bdxy4vqpOd+cBvl9VV474PUuV+EMmv5bJVI7xM3i33w8cGzZ951Fgf/f1fuCR9RQpaf7GOav/UeCfgH8H3uxW/yVwBPg28F7gJPCZqnptxO9aysQfMvm1DMZJ/As6uTcpG1+avame3JPTe7VxOGVXapCJvw4mv5adiS81yMSfgP/HHi0rE19qkI0vNcih/hT4f+zRsjHxpQaZ+FPmpT4tAxNfapCJPyMmv/rMxJcaZOLPmMmvPjLxpQaZ+HPi9F71iYkvNcjGlxrkUH/OnN6rPjDxpQaZ+AvkpT4tiokvNcjE7wGTX/Nm4ksNMvF7xOTXvJj4UoNM/B4y+TVrJr7UIBO/x7yxR7Ni4ksNsvGlBjnUXwLe2KNpM/GlBpn4S8ZLfZoGE19q0NiNn2RTkqeTHO6WL09yJMmJJA8l2TK7MnWuJCShqs663CeN40IS/w7g2Krlu4F7qmov8Dpw+zQLkzQ7YzV+kt3A7wP3dcsBbgAOdS95ALhlFgXq/Ex+rce4iX8v8CXgzW75ncAbVXWmWz4F7FrrB5McSLKSZGWiSiVNzcjGT/Ip4JWqOrp69RovXTNuqupgVe2rqn3rrFFjODf5TX+dzziX8z4CfDrJTcBFwCUMRgDbkmzuUn838PLsypQ0TSMTv6ruqqrdVbUHuA34XlV9DngSuLV72X7gkZlVKWmqJrmO/2Xgz5O8wOCY//7plKRJDIf8nvDT+WSeb4wkvgvnyNl9baqqkf/gTtndwJzeq7filF2pQSZ+A0x+ncvElxpk4jfE5NeQiS81yMRvkMkvE19qkInfMP9uf7tMfKlBNr7UIIf68u/2N8jElxpk4ussXuprg4kvNcjE15pM/o3NxJcaZOLrvEz+jcnElxpk4mssTu/dWEx8qUE2vtQgh/q6IE7v3RhMfKlBJr7WzUt9y8vElxpk4mtiJv/yMfGlBpn4mhqTf3mY+FKDTHxNncnffya+1CATXzPjjT39ZeJLDRqr8ZNsS3IoyfNJjiW5LsmOJI8nOdE9b591sZKmY9zE/zrw3ap6H/AB4BhwJ/BEVe0FnuiWpV+T5FePqjpr6K/FyKh/hCSXAP8KXFGrXpzkOHB9VZ1OshP4flVdOeJ3+S/eOM/0z15Vjdy54yT+FcCrwDeTPJ3kviRbgXdX1eluQ6eBd01UrZpg8vfDOI2/GfgQ8I2quhr4JRcwrE9yIMlKkpV11ihpysZp/FPAqao60i0fYvBB8LNuiE/3/MpaP1xVB6tqX1Xtm0bB2hhM/sUa2fhV9VPgpSTD4/cbgeeAR4H93br9wCMzqVDS1I08uQeQ5IPAfcAW4MfAHzP40Pg28F7gJPCZqnptxO/xo11r8qTf9Ixzcm+sxp8WG19vxcafnnEa3ym76gWn986XU3alBtn4UoMc6qtX/Lv982HiSw0y8dVb/iWf2THxpQaZ+Oo9k3/6THypQSa+lobJPz0mvtQgE19Lx+SfnIkvNcjE19Lyxp71M/GlBtn4UoMc6mvpeWPPhTPxpQaZ+NpQvNQ3HhNfapCJrw3J5D8/E19qkImvDc3kX5uJLzXIxFcTTP6zmfhSg0x8NcUbewZMfKlBNr7UIIf6alLrN/aY+FKDTHw1r8VLfSa+1CATX+q0lPwmvtSgsRo/yReTPJvkmSTfSnJRksuTHElyIslDSbbMulhpHpKQhKo6a6LPRjKy8ZPsAj4P7Kuqq4BNwG3A3cA9VbUXeB24fZaFSpqecYf6m4HfTLIZuBg4DdwAHOq+/wBwy/TLkxbn3OTfSOk/svGr6ifAV4GTDBr+58BR4I2qOtO97BSwa62fT3IgyUqSlemULGlS4wz1twM3A5cD7wG2Ap9c46VrfhxW1cGq2ldV+yYpVNL0jHM572PAi1X1KkCSh4EPA9uSbO5Sfzfw8uzKlBZnI07vHecY/yRwbZKLM/ivvRF4DngSuLV7zX7gkdmUKGnaMs4JiyRfAf4AOAM8DfwJg2P6B4Ed3bo/rKr/GfF7Ns7ZETWtz8lfVSOLGqvxp8XG10ax7I3vlF1pHZZ9eq9TdqUGmfjSBJY1+U18qUEmvjQFy5b8Jr7UIBNfmqJl+bv9Jr7UIBtfapBDfWkG+n5jj4kvNcjEl2asj5f6THypQSa+NCd9Sn4TX2qQiS/NWR+S38SXGmTiSwuyyOm9Jr7UIBtfapBDfWnBFjG918SXGmTiSz0yr0t9Jr7UIBNf6qFZJ7+JLzXIxJd6bFbJb+JLDTLxpSUw7eQ38aUGmfjSEpnWjT0mvtQgG19qkEN9aQlNemOPiS81yMaXllwSklBVXHPNNWP9jI0vNWjex/j/Bfyye14Gl7I8tcJy1btMtcIS1Nsd4//2WK9dfT1wHpKsVNW+uW50nZapVliuepepVli+ekdxqC81yMaXGrSIxj+4gG2u1zLVCstV7zLVCstX73nN/Rhf0uI51JcaNLfGT/KJJMeTvJDkznltd1xJLkvyZJJjSZ5Ncke3fkeSx5Oc6J63L7rWoSSbkjyd5HC3fHmSI12tDyXZsugah5JsS3IoyfPdPr6ur/s2yRe798AzSb6V5KI+79v1mEvjJ9kE/A3wSeD9wGeTvH8e274AZ4C/qKrfAa4F/rSr8U7giaraCzzRLffFHcCxVct3A/d0tb4O3L6Qqtb2deC7VfU+4AMM6u7dvk2yC/g8sK+qrgI2AbfR73174apq5g/gOuCxVct3AXfNY9sT1PwI8HHgOLCzW7cTOL7o2rpadjNolhuAw0AYTDDZvNY+X3CtlwAv0p1TWrW+d/sW2AW8BOxgMMHtMPB7fd23633Ma6g/3JlDp7p1vZRkD3A1cAR4d1WdBuie37W4ys5yL/Al4M1u+Z3AG1V1plvu0z6+AngV+GZ3aHJfkq30cN9W1U+ArwIngdPAz4Gj9Hffrsu8Gn+t+wV7eTkhyTuA7wBfqKpfLLqetST5FPBKVR1dvXqNl/ZlH28GPgR8o6quZjBte+HD+rV05xluBi4H3gNsZXCIeq6+7Nt1mVfjnwIuW7W8G3h5TtseW5K3MWj6v6+qh7vVP0uys/v+TuCVRdW3ykeATyf5T+BBBsP9e4FtSYb3X/RpH58CTlXVkW75EIMPgj7u248BL1bVq1X1v8DDwIfp775dl3k1/lPA3u7M6BYGJ0sendO2x5LBHQ73A8eq6murvvUosL/7ej+DY/+Fqqq7qmp3Ve1hsC+/V1WfA54Ebu1e1otaAarqp8BLSa7sVt0IPEcP9y2DIf61SS7u3hPDWnu5b9dtjidNbgJ+BPwH8FeLPrmxRn0fZTB8+zfgX7rHTQyOnZ8ATnTPOxZd6zl1Xw8c7r6+Avhn4AXgH4C3L7q+VXV+EFjp9u8/Atv7um+BrwDPA88Afwe8vc/7dj0PZ+5JDXLmntQgG19qkI0vNcjGlxpk40sNsvGlBtn4UoNsfKlB/weqVzzCzHHVmAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "x=np.eye(100)\n",
    "plt.imshow(x,cmap='gray')\n",
    "plt.savefig('out.png', bbox_inches='tight')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Numpy数组创建: 3. 绘制等差数列对应图像\n",
    "\n",
    "---\n",
    "个人信息:  \n",
    "- 姓名: 石庆波\n",
    "- 年级: 2020\n",
    "- 专业: 智能科学与技术\n",
    "- 班级: 一班\n",
    "---\n",
    "\n",
    "- 诚信守则:  \n",
    "    - 我承诺该报告内容**为我个人书写非直接抄袭所得。**\n",
    "    - 我**可以解释答题思路并复现我的答案。**\n",
    "    - 如无法实现以上要求，**我愿意承担由此带来的后果。**\n",
    "---"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 432x288 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "x=np.arange(0,256,5)\n",
    "plt.imshow([x],cmap='gray')\n",
    "plt.axis('off')\n",
    "plt.show()\n",
    "plt.savefig('out.png', bbox_inches='tight')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Numpy数组创建: 4. 绘制两种随机量对应的折线图\n",
    "\n",
    "---\n",
    "个人信息:  \n",
    "- 姓名: 石庆波\n",
    "- 年级: 2020\n",
    "- 专业: 智能科学与技术\n",
    "- 班级: 一班\n",
    "---\n",
    "\n",
    "- 诚信守则:  \n",
    "    - 我承诺该报告内容**为我个人书写非直接抄袭所得。**\n",
    "    - 我**可以解释答题思路并复现我的答案。**\n",
    "    - 如无法实现以上要求，**我愿意承担由此带来的后果。**\n",
    "---"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from numpy.random import randint\n",
    "np.random.seed(2021)  \n",
    "size=100\n",
    "x=np.linspace(0,50,size)\n",
    "y1=np.random.randn(size)\n",
    "y2=np.random.rand(size)\n",
    "plt.plot(x,y1)\n",
    "plt.plot(x,y2)\n",
    "plt.savefig('out.png', bbox_inches='tight')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Numpy数组创建: 5. 绘制随机噪点图\n",
    "\n",
    "---\n",
    "个人信息:  \n",
    "- 姓名: 石庆波\n",
    "- 年级: 2020\n",
    "- 专业: 智能科学与技术\n",
    "- 班级: 一班\n",
    "---\n",
    "\n",
    "- 诚信守则:  \n",
    "    - 我承诺该报告内容**为我个人书写非直接抄袭所得。**\n",
    "    - 我**可以解释答题思路并复现我的答案。**\n",
    "    - 如无法实现以上要求，**我愿意承担由此带来的后果。**\n",
    "---"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 432x288 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from numpy.random import randint\n",
    "np.random.seed(2021)\n",
    "x=randint(0,256,size=(100,100))\n",
    "plt.imshow(x,cmap='gray',vmin=0,vmax=255)\n",
    "plt.axis('off')\n",
    "plt.show()\n",
    "plt.savefig('out.png', bbox_inches='tight')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Numpy数组创建: 6. 给局部狗图添加噪音\n",
    "\n",
    "---\n",
    "个人信息:  \n",
    "- 姓名: 石庆波\n",
    "- 年级: 2020\n",
    "- 专业: 智能科学与技术\n",
    "- 班级: 一班\n",
    "---\n",
    "\n",
    "- 诚信守则:  \n",
    "    - 我承诺该报告内容**为我个人书写非直接抄袭所得。**\n",
    "    - 我**可以解释答题思路并复现我的答案。**\n",
    "    - 如无法实现以上要求，**我愿意承担由此带来的后果。**\n",
    "---"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 432x288 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import cv2 as cv\n",
    "import matplotlib.pyplot as plt\n",
    "from numpy.random import randint\n",
    "np.random.seed(2021)  \n",
    "img=cv.imread(\"dog.jpg\",0)\n",
    "img = img[500:1100,100:600]\n",
    "h, w= img.shape\n",
    "noise=np.random.randn(h,w)\n",
    "img_noisy = img + noise\n",
    "plt.imshow(img_noisy,cmap='gray')\n",
    "plt.show()\n",
    "plt.savefig('out.png', bbox_inches='tight')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
